10975872 has 64 divisors (see below), whose sum is σ = 29547360. Its totient is φ = 3609600.

The previous prime is 10975871. The next prime is 10975883. The reversal of 10975872 is 27857901.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 10975872.

It is not an unprimeable number, because it can be changed into a prime (10975871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38643 + ... + 38925.

Almost surely, 2^10975872 is an apocalyptic number.

10975872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10975872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14773680).

10975872 is an abundant number, since it is smaller than the sum of its proper divisors (18571488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10975872 is a wasteful number, since it uses less digits than its factorization.

10975872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 10975872 is about 3312.9853606679. The cubic root of 10975872 is about 222.2352833805.

The spelling of 10975872 in words is "ten million, nine hundred seventy-five thousand, eight hundred seventy-two".